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Finding the Fourth Proportional to 502,112.51, 753,174.86 and 147,133.73

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Solution

The fourth proportional to 502,112.51, 753,174.86 and 147,133.73 is: 220,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,112.51 : 753,174.86 = 147,133.73 : x
  2. Step 2: Convert to fraction form
    502,112.51/753,174.86 = 147,133.73/x
  3. Step 3: Cross multiply
    502,112.51x = 753,174.86 × 147,133.73
  4. Step 4: Simplify right side
    502,112.51x = 110,817,426,494.03
  5. Step 5: Solve for x
    x = 110,817,426,494.03/502,112.51
  6. Step 6: Final answer
    x = 220,702.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.